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Eurasian Mathematical Journal, 2015, том 6, номер 4, страницы 29–43
(Mi emj208)
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Эта публикация цитируется в 3 научных статьях (всего в 3 статьях)
Almost hypoelliptic operators with constant powers
V. N. Margaryan, H. G. Ghazaryan Department of mathematics and mathematical modeling, Russian-Armenian (Slavonic) Uniersity, 123 Osep Emin St., 0051 Yerevan, Armenia
Аннотация:
The concept of a formally almost hypoelliptic operator with constant power and the concept of weighted Sobolev spaces generated by such operators are introduced. We prove some properties of such operators, establish some estimates for functions in those spaces, in particular, the density of smooth functions in those spaces. We intend, in another work, using the results of this paper, to select a set of infinitely differentiable solutions for a class of almost hypoelliptic equations having constant power.
Ключевые слова и фразы:
almost hypoelliptic operator (equation), operator with constant power, Sobolev spaces generated by a differential operator, (non-)degenerate operator (polynomial).
Поступила в редакцию: 17.10.2015
Образец цитирования:
V. N. Margaryan, H. G. Ghazaryan, “Almost hypoelliptic operators with constant powers”, Eurasian Math. J., 6:4 (2015), 29–43
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/emj208 https://www.mathnet.ru/rus/emj/v6/i4/p29
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